Seminar
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| Location: | SLMath: Online/Virtual |
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
A Stochastic Fluid-Structure Interaction Model Given by a Stochastic Viscous Wave Equation
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
Abstract: We consider a stochastic fluid-structure interaction model, given by a stochastic viscous wave equation perturbed by spacetime white noise. This stochastic model is motivated by various applications in which one observes random deviations in real-life data. We prove that this stochastic viscous wave equation has a mild solution in dimension one, and also in dimension two, which is the physical dimension. This behavior contrasts that of the stochastic heat and wave equations, which do not have function valued mild solutions in dimensions two and higher.
We also consider Hölder continuity path properties of solutions and show that the solution is Hölder continuous up to Hölder exponent 1/2 in both space and time, after stochastic modification. This is joint work with Suncica Canic.